Information on Result #801590

Linear OA(2238, 32816, F2, 31) (dual of [32816, 32578, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
  1. linear OA(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(2181, 32768, F2, 25) (dual of [32768, 32587, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2237, 32815, F2, 30) (dual of [32815, 32578, 31]-code) [i]Truncation
2Linear OOA(2238, 16408, F2, 2, 31) (dual of [(16408, 2), 32578, 32]-NRT-code) [i]OOA Folding
3Linear OOA(2238, 10938, F2, 3, 31) (dual of [(10938, 3), 32576, 32]-NRT-code) [i]
4Linear OOA(2238, 8204, F2, 4, 31) (dual of [(8204, 4), 32578, 32]-NRT-code) [i]
5Linear OOA(2238, 6563, F2, 5, 31) (dual of [(6563, 5), 32577, 32]-NRT-code) [i]
6Linear OOA(2238, 5469, F2, 6, 31) (dual of [(5469, 6), 32576, 32]-NRT-code) [i]
7Linear OOA(2238, 4688, F2, 7, 31) (dual of [(4688, 7), 32578, 32]-NRT-code) [i]
8Linear OOA(2238, 4102, F2, 8, 31) (dual of [(4102, 8), 32578, 32]-NRT-code) [i]